1029426444 has 72 divisors (see below), whose sum is σ = 2647427328. Its totient is φ = 337206240.

The previous prime is 1029426443. The next prime is 1029426467. The reversal of 1029426444 is 4446249201.

It is a happy number.

1029426444 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 4 + 2 + 644 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1029426399 and 1029426408.

It is not an unprimeable number, because it can be changed into a prime (1029426443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244359 + ... + 1245185.

It is an arithmetic number, because the mean of its divisors is an integer number (36769824).

Almost surely, 2^1029426444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029426444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323713664).

1029426444 is an abundant number, since it is smaller than the sum of its proper divisors (1618000884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1029426444 is a wasteful number, since it uses less digits than its factorization.

1029426444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1029426444 is about 32084.6761554484. The cubic root of 1029426444 is about 1009.7141445061.

The spelling of 1029426444 in words is "one billion, twenty-nine million, four hundred twenty-six thousand, four hundred forty-four".